Elliptic curve data - 22176.n1

Formats: - HTML - YAML - JSON - 2025-10-31T08:58:25.747794

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '22176e', 'Clabel': '22176e2', 'Cnumber': 2, 'abc_quality': 1.0353155241318501, 'absD': 3758410491933055698432, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 0, 0, -14710755, -21515799818], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 22176, 'degree': 1290240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9556990584871838929167178598', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [943259332190261813000, 10069472554261659], 'lmfdb_iso': '22176.n', 'lmfdb_label': '22176.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1634528, -796336632], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4095713177435265563336552182', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 6, 352], [5, 2, 2016], [7, 8, 3168], [11, 12, 2016]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8865325287331700651561711502', 'prec': 100}, 'szpiro_ratio': 6.108454208091158, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, -4, 0, -6, 0], 'aplist': [0, 0, 0, 1, -1, -2, -4, -6, 4, 2, 10, -6, 12, -12, 6, 6, 0, 6, -4, 8, 8, 16, 2, -10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 22176, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '22176.n', 'trace_hash': 729081962624529908}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0027083975824247808816093485636', 'prec': 110}, 'conductor': 22176, 'gens': [[15749, 1911294, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4095713177435265563336552182', 'prec': 100}], 'lmfdb_label': '22176.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.077138445668582682469825823216', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0074310782089870000069664257235558002', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-2038, 0, 1]], 'xcoord_integral_points': [-2038, 15749]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '22176.n1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 1127435
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '22176.n1', 'torsion': [2, 2]}
  • id: 1127436
    {'degree': 4, 'field': [46, 19, -1, -1, 1], 'lmfdb_label': '22176.n1', 'torsion': [4]}
  • id: 1127439
    {'degree': 8, 'field': [-3, 0, 0, 0, 6, 0, -16, 0, 1], 'lmfdb_label': '22176.n1', 'torsion': [6]}
  • id: 1127438
    {'degree': 8, 'field': [1089, 0, -7260, 0, 880, 0, -44, 0, 1], 'lmfdb_label': '22176.n1', 'torsion': [2, 4]}
  • id: 1127437
    {'degree': 8, 'field': [7744, 11616, 8382, 2904, 203, -132, -30, 0, 1], 'lmfdb_label': '22176.n1', 'torsion': [2, 4]}
  • id: 1127441
    {'degree': 16, 'field': [-6931014, -3091568, 1986692, 338528, -200336, -495216, -237372, 30160, 32912, 30284, -5564, -4680, 786, 268, -52, -4, 1], 'lmfdb_label': '22176.n1', 'torsion': [2, 6]}
  • id: 1127440
    {'degree': 16, 'field': [1929187036, -236203520, -845776848, -159779200, 270784836, 8487192, -19517372, -3061912, 1583367, 288676, -55706, -10248, 1995, 280, -42, -4, 1], 'lmfdb_label': '22176.n1', 'torsion': [8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 506540
    {'conductor': 22176, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '22176.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 506541
    {'conductor': 22176, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '22176.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 506542
    {'conductor': 22176, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '22176.n1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 506543
    {'conductor': 22176, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '22176.n1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1812378
    {'adelic_gens': [[1, 0, 4, 1], [353, 4, 90, 9], [3, 4, 8, 11], [613, 4, 612, 5], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 307, 0], [540, 81, 385, 232], [114, 1, 559, 0]], 'adelic_image': '616.12.0.?', 'conductor': 22176, 'lmfdb_label': '22176.n1', 'prime': 0}
  • id: 102685
    {'conductor': 22176, 'elladic_image': '2.3.0.1', 'lmfdb_label': '22176.n1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1043236
    {'lmfdb_iso': '22176.n', 'p': 13, 'prec': 20, 'unit': 500086409680167312633, 'val': 1}
  • id: 1043238
    {'lmfdb_iso': '22176.n', 'p': 17, 'prec': 20, 'unit': 91333534536553820138433, 'val': 1}
  • id: 1043239
    {'lmfdb_iso': '22176.n', 'p': 19, 'prec': 20, 'unit': 1902357722669588065277329, 'val': 1}
  • id: 1043242
    {'lmfdb_iso': '22176.n', 'p': 23, 'prec': 20, 'unit': 49192015702785770269416625, 'val': 1}
  • id: 1043235
    {'lmfdb_iso': '22176.n', 'p': 29, 'prec': 20, 'unit': 1668136854432240227209539652, 'val': 1}
  • id: 1043246
    {'lmfdb_iso': '22176.n', 'p': 31, 'prec': 20, 'unit': 19429043194398781991619125544, 'val': 1}
  • id: 1043231
    {'lmfdb_iso': '22176.n', 'p': 37, 'prec': 20, 'unit': 228066025569224095627356813860, 'val': 1}
  • id: 1043233
    {'lmfdb_iso': '22176.n', 'p': 41, 'prec': 20, 'unit': 3110529511920250749981576528532, 'val': 1}
  • id: 1043234
    {'lmfdb_iso': '22176.n', 'p': 43, 'prec': 20, 'unit': 7693456688586929192934961644054, 'val': 1}
  • id: 1043237
    {'lmfdb_iso': '22176.n', 'p': 47, 'prec': 20, 'unit': 57929533755224205272613080142650, 'val': 1}
  • id: 1043240
    {'lmfdb_iso': '22176.n', 'p': 53, 'prec': 20, 'unit': 463582243812010940448612296942943, 'val': 1}
  • id: 1043245
    {'lmfdb_iso': '22176.n', 'p': 61, 'prec': 20, 'unit': 1456835921930035614752537214992094, 'val': 1}
  • id: 1043230
    {'lmfdb_iso': '22176.n', 'p': 67, 'prec': 20, 'unit': 18187817332845928715226881570531533, 'val': 1}
  • id: 1043232
    {'lmfdb_iso': '22176.n', 'p': 71, 'prec': 20, 'unit': 28298237594153950403096346579930303, 'val': 1}
  • id: 1043241
    {'lmfdb_iso': '22176.n', 'p': 73, 'prec': 20, 'unit': 216406865235152915837073931832167113, 'val': 1}
  • id: 1043244
    {'lmfdb_iso': '22176.n', 'p': 79, 'prec': 20, 'unit': 831967682588451312090786316043944000, 'val': 1}
  • id: 1043229
    {'lmfdb_iso': '22176.n', 'p': 83, 'prec': 20, 'unit': 2330405906372189413722178220452369343, 'val': 1}
  • id: 1043243
    {'lmfdb_iso': '22176.n', 'p': 89, 'prec': 20, 'unit': 7435483993060717173678101352603480248, 'val': 1}
  • id: 1043228
    {'lmfdb_iso': '22176.n', 'p': 97, 'prec': 20, 'unit': 28054579328990653996545589937411701783, 'val': 1}